cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A134606 Numbers such that the square root of the sum of squares of their prime factors is a nonprime integer.

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%I A134606 #18 Apr 09 2025 20:24:30
%S A134606 16,81,351,512,625,1080,1260,1350,1375,1792,1836,2070,2145,2175,2401,
%T A134606 2730,2772,3510,4104,4305,4625,4650,4655,4998,5880,6000,6545,7098,
%U A134606 7182,7791,7889,7956,9030,9108,9295,9324,10098,10368,10545,11628,11935,12096
%N A134606 Numbers such that the square root of the sum of squares of their prime factors is a nonprime integer.
%C A134606 No prime number is a term. - _Hieronymus Fischer_, Apr 19 2011
%H A134606 Hieronymus Fischer, <a href="/A134606/b134606.txt">Table of n, a(n) for n = 1..10000</a>
%e A134606 a(3)=351, since 351=3*3*3*13 and sqrt(3*3^2+13^2)=sqrt(196)=14.
%t A134606 f[{a_,b_}]:=Table[a,b];Select[Range[2,12096],!PrimeQ[Sqrt[Total[Flatten[f/@FactorInteger[#]]^2]]]&&IntegerQ[Sqrt[Total[Flatten[f/@FactorInteger[#]]^2]]]&] (* _James C. McMahon_, Apr 09 2025 *)
%Y A134606 Cf. A001597, A025475, A134333, A134344, A134376.
%Y A134606 Cf. A134600, A134602, A134608, A134611, A134616, A134618, A134620.
%K A134606 nonn
%O A134606 1,1
%A A134606 _Hieronymus Fischer_, Nov 11 2007